411145113600 has 1872 divisors, whose sum is σ = 1739111023104. Its totient is φ = 95551488000.

The previous prime is 411145113593. The next prime is 411145113637. The reversal of 411145113600 is 6311541114.

411145113600 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 4 + 51 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10027929580 + ... + 10027929620.

Almost surely, 2^411145113600 is an apocalyptic number.

411145113600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411145113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869555511552).

411145113600 is an abundant number, since it is smaller than the sum of its proper divisors (1327965909504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411145113600 is a wasteful number, since it uses less digits than its factorization.

411145113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 411145113600 its reverse (6311541114), we get a palindrome (417456654714).

The spelling of 411145113600 in words is "four hundred eleven billion, one hundred forty-five million, one hundred thirteen thousand, six hundred".